Vehicle acceleration: final velocity from distance and time

Practice question

Question

A vehicle starts from rest and travels 50m in 5s with uniform acceleration. What is its final velocity?

Options

Choose one · Correct answer highlighted

10 m/s 20 m/s Correct 15 m/s 25 m/s

Explanation

Use x=v0t+12at2 to find a: 50=0⋅5+12a(5)2⇒50=12.5a⇒a=4m/s2. As per NCERT Chapter 3, equations v=u+at, s=ut+½at², v²=u²+2as describe uniformly accelerated motion. Applying correct signs and units gives 20 m/s as the result, so option B is correct.

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